Two less than three-fourths of a number is ten. What is the number?
(3/4)n - 2 = 10
(3/4)n = 12
n = 12/(3/4)
n = 12 * (4/3)
n = 48/3
n = 16
Equation of two more than 16 times a number is the same as 21 less than the product of -7 and the number
Well, let's break it down. If we have a number, we need to find two less than three-fourths of that number. So, we can start by setting up the equation: (3/4)x - 2 = 10. Now, let's solve it and let me be serious for a moment... Okay, the number is 48. But seriously, let's get back to the fun stuff! Why did the number go to school? Because it wanted to be number one!
To find the number, we can set up an equation based on the given information and then solve it.
Let's assign the variable "x" to represent the number we are trying to find.
According to the problem, "Two less than three-fourths of a number is ten."
The phrase "three-fourths of a number" can be represented mathematically as (3/4) * x.
And the phrase "Two less than three-fourths of a number" can be written as (3/4) * x - 2.
We are told that this expression is equal to ten, so we can write the equation:
(3/4) * x - 2 = 10
To solve for x, we will isolate the variable on one side of the equation:
(3/4) * x = 10 + 2
(3/4) * x = 12
Now, to get rid of the fraction, we can multiply both sides of the equation by the reciprocal of (3/4), which is 4/3:
(4/3) * (3/4) * x = (4/3) * 12
Simplifying, we have:
x = 16
Therefore, the number is 16.